Answer:
a = -8
Step-by-step explanation:
you can solve this proportion by cross-multiplying:
4(a + 9) = -1(a + 4)
now distribute to eliminate parentheses
4a + 36 = -1a - 4
5a + 36 = -4
5a = -40
a = -8
-- Carefully cut <em>each bar into 6 equal pieces</em>.
There are (5 x 6) = 30 pieces all together.
Each piece is 1/6 of a bar.
-- Each child gets 5 of the pieces.
That's the same as <em>5/6 of a whole bar</em>.
(6 children) x (5 pieces) = 30 pieces. It works out. yay !
Answer: The correct option is
(E) 70.
Step-by-step explanation: We are given to find the number of triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.
To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is
Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is
Therefore, the total number of triangles and quadrilaterals is
Thus, option (E) is CORRECT.
<span>1. line goes through the points (9, 10) and (-3, 2). (a) What is the slope of the line? Show your work
slope = (10 - 2)/(9 + 3)
slope = 8/12
slope = 2/3
</span><span>2. Write the equation of the line in point-slope form.
Show your work
</span>
point-slope form. <span>
y - y1 = m(x - x1)
so equation
y - 2 = 2/3(x + 3)
</span><span>3. Write the equation of the line in slope-intercept form.
Show your work.</span><span>
</span>slope = 2/3, passing thru <span> (-3, 2)
</span><span>
y = mx + b
b = y - mx
b = 2 - (2/3)(-3)
b = 2 + 2
b = 4
equation
y = 2/3(x) + 4
</span>
Answer:
Hence the best estimate is population with correct option is 74% and
the value for x=148
Step-by-step explanation:
Given:
A sample of 200
Of which 148 prefer brand new coffee
To Find:
Which statement is true?
Solution:
n=200
x=148
remaining 52 prefer old ones .
So estimate population proportion,
p=x/n
p=148/200
p=0.74
p=74 %
Now, when x=52
p=x/n,
p=52/200
p=0.26
p=26%
There is no option for 52 and 24 %
Hence x=148 and p=74%.
